Iterative regularization methods for non
β Kaltenbacher, Barbara
π Library
π
2008
π Walter de Gruyter
π English
β¦ LIBER β¦
π
Iterative Regularization Methods for Nonlinear Ill-Posed Problems
β Scribed by Barbara Kaltenbacher; Andreas Neubauer; Otmar Scherzer
- Publisher
- De Gruyter
- Year
- 2008
- Tongue
- English
- Leaves
- 204
- Series
- Radon Series on Computational and Applied Mathematics; 6
- Category
- Library
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β¦ Synopsis
Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a specialΒ numerical treatment. This book presents regularization schemes which are based on iteration methods, e.g., nonlinear Landweber iteration, level set methods, multilevel methods and Newton type methods.
β¦ Table of Contents
Frontmatter
Contents
1 Introduction
2 Nonlinear Landweber iteration
3 Modified Landweber methods
4 Newton type methods
5 Multilevel methods
6 Level set methods
7 Applications
8 Comments
Backmatter
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Machine generated contents note: 1. The regularity condition. Newton's method -- 1.1. Preliminary results -- 1.2. Linearization procedure -- 1.3. Error analysis -- Problems -- 2. The Gauss -- Newton method -- 2.1. Motivation -- 2.2. Convergence rates -- Problems -- 3. The gradient method -- 3.1. Th